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Raman spectroscopy is frequently used to identify composition, structure andlayer thickness of 2D materials. Here, we describe an efficientfirst-principles workflow for calculating resonant first-order Raman spectra ofsolids within third-order perturbation theory employing a localized atomicorbital basis set. The method is used to obtain the Raman spectra of 733different monolayers selected from the computational 2D materials database(C2DB). We benchmark the computational scheme against available experimentaldata for 15 known monolayers. Furthermore, we propose an automatic procedurefor identifying a material based on an input experimental Raman spectrum andillustrate it for the cases of MoS$_2$ (H-phase) and WTe$_2$(T$^\prime$-phase). The Raman spectra of all materials at different excitationfrequencies and polarization configurations are freely available from the C2DB.Our comprehensive and easily accessible library of \textit{ab initio} Ramanspectra should be valuable for both theoreticians and experimentalists in thefield of 2D materials

A library of ab initio Raman spectra for automated identification of 2D materials